question_answer

In the following figures, find the value of x.

(a)

(b)

Answer:

(a) Sum of interior opposite angles = Exterior angle

\[x{}^\circ \text{ }+\text{ }90{}^\circ \text{ }=\text{ }155{}^\circ \]

\[x{}^\circ =\text{ }155{}^\circ -90{}^\circ =65{}^\circ \]

(b) Similarly,

\[30{}^\circ \text{ }+\text{ }90{}^\circ \text{ }=\text{ }x{}^\circ \]

\[x{}^\circ \text{ }=\text{ }120{}^\circ \]